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In Mathematics / Middle School | 2014-10-29

Lorenzo rides his bike at a rate of 5 yards per second. About how many miles per hour can Lorenzo ride this bike?

(1 mile = 1760 yards)

Asked by ann01

Answer (3)

(5 yd/sec) x (1 mile/1,760 yard) x (3,600 sec/hour) = about 10.227 mile/hour.

Answered by AL2006 | 2024-06-10

we have
5 sec y a r d s ​
Step 1
Convert 5 yards to miles
by proportion
1 , 760 1 ​ y a r d s mi l e ​ = 5 x ​ y a r d s mi l e ​ x ∗ 1 , 760 = 5 x = 1 , 760 5 ​ mi l es
Step 2
Convert 1 second to hours
by proportion
3 , 600 1 ​ seco n d s h o u r ​ = 1 x ​ seco n d h o u r ​ x ∗ 3 , 600 = 1 x = 3 , 600 1 ​ h o u rs
Step 3
Find the speed in miles per hour
we know that
s p ee d = t im e d i s t an ce ​ s p ee d = ( 1/3 , 600 ) ( 5/1 , 760 ) ​ s p ee d = 1 , 760 5 ∗ 3 , 600 ​ s p ee d = 10.23 h o u r mi l es ​
therefore
the answer is
10.23 h o u r mi l es ​

Answered by calculista | 2024-06-11

Lorenzo rides his bike at approximately 10.23 miles per hour after converting his speed from yards per second to miles per hour. To find this, we convert 5 yards to miles and then calculate how many miles he covers in one hour. The final result shows his speed in a more common unit for travel distances.
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Answered by calculista | 2024-09-05